Populatin growth of humans and bacteria follows first order growth kinetics. Suppose 50 bacteria are placed in a flask containing nutrients for the bacteria so that they can multiply . A study at `3.5^(@)C` gave the following results :
`{:("Time (minutes)",0,15,30,45,60),("Number of bacteria",100,200,400,800,1600):}`
The rae constant of the first order growth of bacteria cab be calculated using :

Options

A. `k=(2.303)/(t)log_(10)((a)/(a-x))`
B. `k=-(2.303)/(t)log((a)/(a+x))`
C. `tk=(0.693)/(t)`
D. `k=(x)/(t)`

Answer

B